Towards a Non-equilibrium Extension of the Law of the Wall in Turbulent Channel Flows
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To investigate the existence of a non-equilibrium extension of the law of the wall, we present a detailed analysis of the main non-equilibrium contributions around the law of the wall in turbulent channel flows. This analysis, which utilizes a one-dimensional scalar variant of the Proper Orthogonal Decomposition (POD), reveals that the classical asymptotic regimes associated with the law of the wall for the mean velocity profile carries over to the main non-equilibrium contributions as well. It also demonstrates that the first few POD modes obtained within each of the asymptotic regimes show a strong degree of Reynolds number universality for all three velocity components. Finally, we argue that the above findings should have implications for developing predictive wall models for large-eddy simulations based on model analysis.
